Abstract
In the present paper, a novel refined hybrid piezoelectric element formulationis developed for mechanical analysis and active vibration control of laminatedstructures bonded to piezoelectric sensors and actuators. By invoking the electricalfield potential equation, a ‘quasi-decoupling’ method for treating the couplingelectromechanical effects is presented and a modified generalized variational principlewith a weaker interelement continuity condition is proposed. On the basis ofthis functional, a general formulation for a refined hybrid piezoelectric elementmethod is established by incorporating an orthogonal interpolation approachand enhanced assumed strain (EAS) modes. A linearly distributed transverseEAS in the thickness direction is adopted to overcome the thickness locking ofsolid shell elements. Compared with the conventional incompatible brick elementapproach, the present formulation is very reliable, more accurate, computationallyefficient and can be used to model the response of thin plates and shell structures.
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